An Improved Linear State Error Feedback Synchronization Control Criteria for a Six-Axis Duffing Chaotic System

Abstract

By the employment of an improved linear state error feedback method, the synchronization control of a six-axis Duffing chaotic system was studied. Compared with previous methods, it has two advantages: the nonlinear term of the Duffing chaotic system is reserved in the synchronization error system, and the trajectory bound of the response system is predicted in advance to deduce the synchronization criteria. First, a typical ship parametric excitation roll chaotic system with parametric and forced excitation is taken as the control object to realize chaos synchronization control. Then, the control method is applied to the conventional six-axis Duffing oscillatory chaotic system and the four-axis Duffing oscillatory chaotic system. Finally, three simulation cases are presented to illustrate the validity of the synchronization criteria.